What is expand (2+sqrt(2))(sqrt(2)+1)^k ?

The solution to expand (2+sqrt(2))(sqrt(2)+1)^k is 2(sqrt(2)+1)^k+sqrt(2)(sqrt(2)+1)^k

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expand (2+sqrt(2))(sqrt(2)+1)^k

expand

(2 + 2) (2 + 1)^{k}

2 (2 + 1)^{k} + 2 (2 + 1)^{k}

Solution steps

(2 + 2) (2 + 1)^{k}

Apply the distributive law:

a (b + c) = ab + a c

a = (2 + 1)^{k}, b = 2, c = 2

= (2 + 1)^{k} \cdot 2 + (2 + 1)^{k} 2

= 2 (2 + 1)^{k} + 2 (2 + 1)^{k}

(x + 1) e^{x + 1}

2 \frac{4}{3} x

\frac{8}{( 2 - x ) ^{3}}

(x + y) e^{x + 2 y}

\frac{X ^{2} + 4}{( X - 5 ) ( X - 4 )}

What is expand (2+sqrt(2))(sqrt(2)+1)^k ?
The solution to expand (2+sqrt(2))(sqrt(2)+1)^k is 2(sqrt(2)+1)^k+sqrt(2)(sqrt(2)+1)^k